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Math (Mixed Class) Challenge

Total questions: 50

Worksheet time: 8hrs 20mins

Name
Class
Date
1.

Consider the expression


7(10a + 3b)


Use the distributive property to simplify to show exactly two terms

a)

70a + 21b

b)

70a + 3b

c)

7(13ab)

d)

10a + 21b

2.

Consider the expression


8(5 + w)


Use the distributive property to simplify to show exactly two terms

a)

40 + w

b)

40+8w

c)

85 + 8w

d)

13+8w

3.

Consider the expression


11(9 + d)


Use the distributive property to simplify to show exactly two terms

a)

99 + d

b)

20 + 9d

c)

20 + d

d)

99+11d

4.

Consider the expression


56x + 21y


Use the distributive property to take out the common factor(s)

a)

7(8x + 3y)

b)

7(8x + 21y)

c)

6(7x + 4y)

d)

(8+3)(x+y)

5.
Write an Equation.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?
a)
x + 32 = 67
b)
x - 32 = 67
c)
32x = 67
d)
x/32 = 67
6.
Write an Equation.
Devery is going on a rafting trip. She has rafted 12 miles and has 16 miles left to go. How many miles long is the trip?
a)
x − 12 = 16
b)
12x = 16
c)
x/12 = 16
d)
x + 12 = 16
7.

Select all the equivalent expressions for


3(x - 2y)

a)

3x - 6y

b)

3(x) - 3(2y)

c)

3(x) + 3(-2y)

d)

3x + 2y

8.

Select all the equivalent expressions for


4(5x + 2y)

a)

9x + 6y

b)

4(5x) + 4(2y)

c)

20x + 8y

d)

20x + 2y

9.
What is the missing number in the ratio table?
a)
72
b)
85
c)
76
d)
90
10.
What is the missing number in the ratio table?
a)
21
b)
24
c)
27
d)
25
11.

If 2 songs cost $2.58, how much does 7 songs cost?

a)

$9.03

b)

$18.06

c)

$15.48

d)

$10.32

12.

If 2 songs cost $2.58, how many songs cost $5.16?

a)

4

b)

5

c)

6

d)

3

13.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
14.

Allison bought a $500 racing bicycle, $150 racing outfit and a $60 helmet with the money she has saved with her summer job.

if :

  • the job pays her $8 an hour
  • she always works 20 hours a week
  • she worked 6 weeks during her summer vacation


How much money did she have left after buying the bicycle?

a)

$260

b)

$200

c)

$250

d)

$130

15.

There is no number greater than 0.59 with a 5 in the tenths place.

Pick an answer that proves this statement false.

a)

0.591

b)

0.450

c)

0.555

d)

0.605

16.
What is 10% of 275
a)
27
b)
27.05
c)
2750
d)
27.5
17.
What is 5% of 50
a)
5
b)
2.5
c)
2
d)
3
18.
Which is bigger:
25% of 200 
OR
20 % of 250
a)
25% of 200
b)
20% of 250
c)
They are the same
19.
3/5 ____ 1/2
a)
>
b)
<
c)
=
20.
2/5___6/15
a)
<
b)
>
c)
=
21.

54 is the same as... (select ALL that apply)

a)

20

b)

625

c)

252

d)

9

22.

Find the equivalent(s) to 34

a)

27

b)

92

c)

81

d)

12

23.
A water tank is 11 feet deep. The top of the water tank has an area of 220 square feet. What is the volume, in cubic feet, of the water tank? 
a)
2220
b)
242
c)
2420
d)
231
24.
The fifth-grade classes at Brookfield School used five identical buses to go on a field trip.  There were a total of 40 seats on each bus. All of the seats on four buses were filled.  The fifth bus had 4/5 of the seats filled. 1/8 of all the passengers on the buses were adults. How many adults went on the field trip with the fifth-grade classes?
a)
20
b)
32
c)
25
d)
24
25.
A candy store owner has 8.32 pounds of jelly beans.  If she puts the jelly beans into 8 jars, how much candy will go in each jar?
a)
1.4
b)
1.04
c)
1.40
d)
1.004
26.
William sold 6 Boy Scout wreaths for $89.70.  How much did each wreath cost?
a)
15.95
b)
$14.50
c)
$14.95
d)
$15.50
27.
Jordan has $20.00 to spend at the used book store. Each book cost $2.85. How many books can Jordan buy?
a)
4
b)
5
c)
6
d)
7
28.
Valerie bought a 9-ft piece of ribbon that she wants to cut into pieces, each 2/3 ft long. How many 2/3-ft pieces can Valerie cut?
a)
13
b)
6
c)
9
d)
This is not possible.
29.

Which ordered pair would fit nicely in the data table provided?

a)

(14, 28)

b)

(15, 29)

c)

(30, 65)

d)

(32, 65)

30.

Which ordered pair would fit nicely in the data table provided?

a)

(4, 2)

b)

(4, 1)

c)

(3, 0)

d)

(3, 2)

31.

Which US city has the coldest record LOW temperature?

a)

Fairbanks, Alaska

b)

New York City, New York

c)

Phoenix, Arizona

d)

Honolulu, Hawaii

e)

Bar Harbor Maine

32.

Click on the coldest temperature listed below.

a)

−8°F-8\degree F  

b)

−18°F-18\degree F  

c)

11°F11\degree F  

d)

68°F68\degree F  

e)

0°F0\degree F  

33.

Wilson had a bucket filled with 10 Gatorades that he was going to pass out soccer practice. The bucket weighed 3 pounds, and each Gatorade weighed 1/4 of a pound. The ice that he poured into the bucket weighed 5 pounds. How much did the bucket weigh altogether?

a)

Less than 10 pounds

b)

More than 10 pounds

c)

Exactly 10 pounds

34.

The number 504 is divisible by which options listed?

a)

2

b)

3

c)

5

d)

9

e)

10

35.

Identify the largest and smallest fractions listed.

810     23     47     58\frac{8}{10}\ \ \ \ \ \frac{2}{3}\ \ \ \ \ \frac{4}{7}\ \ \ \ \ \frac{5}{8}  

a)

810\frac{8}{10}  

b)

23\frac{2}{3}  

c)

47\frac{4}{7}  

d)

58\frac{5}{8}  

36.

Use prime factorization to determine the greatest common factor (GCF) of 18 and 60.

(a)  

37.

Which choice shows the correct prime factorization for 50?

a)

2 x 5 x 5

b)

2 x 2 x 5

c)

2 x 3 x 5 x 7

d)

5 x 5 x 5

38.

26 ÷ 45=\frac{2}{6}\ \div\ \frac{4}{5}=  



(a)  

39.

3 ÷ 45=3\ \div\ \frac{4}{5}=  

(a)  

40.

What is the ratio of students who like Starburst to Tootsie Rolls?

(SYMBOL FORM)

(a)  

41.

What is the ratio of students who like Sour Patch Kids to Other Items?

(WORD FORM)

(a)  

42.

Click on any answers that are TRUE.

a)

The dividend is divisible by 3.

b)

The divisor is a prime number.

c)

The quotient is divisible by 9.

d)

The digit 5 is found in the tens' place.

e)

The product of the quotient and divisor is 1,008.

43.

Choose the smallest and largest fractions shown and choose (2) options that could represent their quotient!

a)

2780\frac{27}{80}  

b)

3072\frac{30}{72}  

c)

2 12302\ \frac{12}{30}  

d)

2 27302\ \frac{27}{30}  

e)

2

44.

Round 42.489 to the nearest whole.

Round 13.421 to the nearest tenth.

NOW FIND THEIR PRODUCT!

(a)  

45.

Box #1 is 14 inches long, 9 inches wide, and 5 inches tall. It is 40% full with water,

Box #2 is 14 inches long, 7 inches wide, and 4 inches tall. It is 80% full with water.

Which box contains the most water?

a)

Box #1

b)

Box #2

c)

Both Boxes Contain Identical Amounts

d)

Not Enough Information to Decide

46.

Two snakes, Vanko and Cristof, were out late one night catching rats.

They were able to catch 80 rats altogether.

The ratio of rats Vanko caught to the rats Cristof caught was 5 to 3.

How many more rats did Vanko catch than Cristof?

(a)  

47.

Henry is 3 feet, 11 inches tall.

Jackson is 5 feet, 3 inches tall.

What is the difference in their height?

a)

16 inches

b)

1 foot, 4 inches

c)

2 feet, 8 inches

d)

24 inches

e)

10 inches

48.

There are 17 total items in the box shown,

but one is hidden behind the mystery panel.

24% of the items are cows.

35% of the items are dinosaurs.

41% of the items are bees.

Using this data, determine which of the three

animals must be hidden behind the mystery panel!

a)

COW

b)

BEE

c)

DINOSAUR

d)

TRICK QUESTION!

NO CREATURE IS HIDDEN BEHIND THE PANEL!

49.

Margo bought (1) Sugar Wafer, (1) Lickum Stick, and (5) of her favorite snack!

She spent $33.50 altogether.

What was Margo's favorite snack?

a)

Crispy Cruncher

b)

Freshy Zaps

c)

Lemon Slaps

d)

Not enough information to answer!

50.

Each fraction in the box provided (except for one) has an equivalent partner in the box with them!

Can you determine which fraction does NOT have an equivalent partner?

(a)  

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